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Finding the Third Proportional to 1,966,066.50 and 2,656,278

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Solution

The third proportional to 1,966,066.50 and 2,656,278 is: 3,588,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,066.50 : 2,656,278 = 2,656,278 : x
  2. Step 2: Convert to fraction form
    1,966,066.50/2,656,278 = 2,656,278/x
  3. Step 3: Cross multiply
    1,966,066.50x = 2,656,278 × 2,656,278
  4. Step 4: Simplify right side
    1,966,066.50x = 7,055,812,813,284
  5. Step 5: Solve for x
    x = 7,055,812,813,284/1,966,066.50
  6. Step 6: Final answer
    x = 3,588,796.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.